# How do you solve 6n - 4 = n + 11?

Jan 18, 2017

See the entire solution process below:

#### Explanation:

First, add and subtract the necessary terms from each side of the equation to isolate the $n$ terms on one side of the equation and the constants on the other side of the equation while keeping the equation balanced:

$6 n - 4 + \textcolor{red}{4} - \textcolor{b l u e}{n} = n + 11 + \textcolor{red}{4} - \textcolor{b l u e}{n}$

$6 n - \textcolor{b l u e}{n} - 4 + \textcolor{red}{4} = n - \textcolor{b l u e}{n} + 11 + \textcolor{red}{4}$

$\left(6 - 1\right) n - 0 = 0 + 15$

$5 n = 15$

Next, divide each side of the equation by $\textcolor{red}{5}$ to solve for $n$ while keeping the equation balanced:

$\frac{5 n}{\textcolor{red}{5}} = \frac{15}{\textcolor{red}{5}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{5}}} n}{\cancel{\textcolor{red}{5}}} = 3$

$n = 3$